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Step 1
Preheat the oven to 425 degrees F.
Step 2
Place the sheet of puff pastry in the center of a baking sheet fitted with parchment. Top the puff with another sheet of parchment. Place a baking sheet directly on top of the parchment on top of the puff pastry. This weighs down the puff as it bakes and makes it uniform.
Step 3
Place the baking sheet in the center of the oven and bake until the puff pastry is partially cooked and lightly browned, 20 to 25 minutes. Remove from the oven and take the baking sheet and top sheet of parchment off the pastry.
Step 4
While the pastry is baking, make the frangipane. In the bowl of the food processor, pulse the almonds until they become like a coarse, wet powder. Add the sugar, butter, flour, almond extract, cinnamon and egg and pulse until it forms a paste.
Step 5
Gently spread the frangipane in an even layer over the puff pastry, leaving a 1/2-inch border, and place the baking sheet back in the center of the oven. Reduce the oven temperature to 400 degrees F. Bake until the frangipane and pastry are browned, 20 to 25 minutes. Let cool to room temperature.
Step 6
In a small pot, warm the jam over low heat until it melts slightly, about 30 seconds.
Step 7
Transfer the puff to a flat surface and use a serrated knife to gently cut into 9 even pieces. Arrange the pieces close together on a serving platter as if they make a whole tart. Drizzle some of the warmed jam over the top edges of the pastry and frangipane to create a “glue” for the raspberries to stick to the pastry. Arrange the raspberries over the top of each piece. Drizzle the remaining jam gently over the raspberries and finish with a sprinkle of sugar for added texture. Serve at room temperature. Refrigerate the leftovers (if there are any!!).